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34044021414 = 2331348495757
BaseRepresentation
bin11111101101001011…
…101000101010100110
310020212120211110212000
4133231023220222212
51024210232141124
623350053310130
72313433256514
oct375513505246
9106776743760
1034044021414
111348aa65197
126721335346
13329715a890
14190d57b4b4
15d43b976c9
hex7ed2e8aa6

34044021414 has 32 divisors (see below), whose sum is σ = 81472873440. Its totient is φ = 10475083296.

The previous prime is 34044021413. The next prime is 34044021463. The reversal of 34044021414 is 41412044043.

34044021414 is a `hidden beast` number, since 3 + 4 + 0 + 440 + 214 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044021413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24247177 + ... + 24248580.

It is an arithmetic number, because the mean of its divisors is an integer number (2546027295).

Almost surely, 234044021414 is an apocalyptic number.

34044021414 is an abundant number, since it is smaller than the sum of its proper divisors (47428852026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34044021414 is a wasteful number, since it uses less digits than its factorization.

34044021414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48495781 (or 48495775 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34044021414 its reverse (41412044043), we get a palindrome (75456065457).

The spelling of 34044021414 in words is "thirty-four billion, forty-four million, twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 48495757 96991514 145487271 290974542 436461813 630444841 872923626 1260889682 1309385439 1891334523 2618770878 3782669046 5674003569 11348007138 17022010707 34044021414